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The total cost of a washing machine with an electric chimney was Rs. 57,750. The electric chimney was sold at a profit of 34% and the washi…

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The total cost of a washing machine with an electric chimney was Rs. 57,750. The electric chimney was sold at a profit of 34% and the washing machine at a loss of 24%. If the sale price was the same in both the items, then the cost price of the cheaper item was________.
  • ARs. 26850
  • BRs. 20900
  • CRs. 28875
  • DRs. 25850
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CCommunity
Let CP of electric chimney be x

⇒ CP of washing machine = 57750 – x

SP of electric chimney = x + 34% of x = 1.34x

SP of washing machine = (57750 – x) – 24% of (57750 – x) = 0.76(57750 – x)

⇒ 1.34x = 0.76(57750 – x)

⇒ 1.34x = 43890 – 0.76x

⇒ x = 43890/2.1 = Rs. 20900

∴ CP of the cheaper item = Rs. 20900
0
CCommunity
Let CP of electric chimney be x

⇒ CP of washing machine = 57750 – x

SP of electric chimney = x + 34% of x = 1.34x

SP of washing machine = (57750 – x) – 24% of (57750 – x) = 0.76(57750 – x)

⇒ 1.34x = 0.76(57750 – x)

⇒ 1.34x = 43890 – 0.76x

⇒ x = 43890/2.1 = Rs. 20900

∴ CP of the cheaper item = Rs. 20900